Finding the Fourth Proportional to 162,415,457,630.40, 224,156,639,302.11 and 97,312,455,952.94
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Solution
The fourth proportional to 162,415,457,630.40, 224,156,639,302.11 and 97,312,455,952.94 is: 134,305,154,243.91
Step by Step Solution
- Step 1: Write the proportion equation
162,415,457,630.40 : 224,156,639,302.11 = 97,312,455,952.94 : x - Step 2: Convert to fraction form
162,415,457,630.40/224,156,639,302.11 = 97,312,455,952.94/x - Step 3: Cross multiply
162,415,457,630.40x = 224,156,639,302.11 × 97,312,455,952.94 - Step 4: Simplify right side
162,415,457,630.40x = 21,813,233,088,646,533,349,376 - Step 5: Solve for x
x = 21,813,233,088,646,533,349,376/162,415,457,630.40 - Step 6: Final answer
x = 134,305,154,243.91
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.